b) Use Gauss' theorem to evaluate RR F. ndS where F = (x² - y)i + y³z²j + (xy – y²z³)k UTM UTM and o is the closed surface formed by the cone z = Px2 + y2 and the %D hemisphere z = P4 – x2 – y² in the first octant. UTM UTM UTM

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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q2b

b) Use Gauss' theorem to evaluate
RR
• ndS where
F = (x² - y)i + y³z²j + (xy – y²z³)k
UTM
SUTM
and o is the closed surface formed by the cone z = Px2 + y2 and the
hemisphere z = P4 – x2 – y² in the first octant.
UTM
UTM
UTM
Transcribed Image Text:b) Use Gauss' theorem to evaluate RR • ndS where F = (x² - y)i + y³z²j + (xy – y²z³)k UTM SUTM and o is the closed surface formed by the cone z = Px2 + y2 and the hemisphere z = P4 – x2 – y² in the first octant. UTM UTM UTM
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